Answer:
14 feets
Step-by-step explanation:
Let height of the triangle is x.
Its base = 5x
Area of the triangle = 490 square feet
We need to find the height of the triangle.
The area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh[/tex]
Putting values,
[tex]h=\dfrac{2A}{b}\\\\x=\dfrac{2\times 490}{5x}\\\\5x^2=980\\\\x^2=196\\\\x=\pm 14\ \text{feet}[/tex]
or
x = 14 feet
Hence, the height of the triangle is 14 feets.
